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2211211068 = 22311471073331
BaseRepresentation
bin1000001111001100…
…0110011100111100
312201002210011100020
42003303012130330
514012032223233
61003225532140
7105536661333
oct20363063474
95632704306
102211211068
11a35197670
12518644050
13293158521
1416d958d1a
15ce1d39b3
hex83cc673c

2211211068 has 96 divisors (see below), whose sum is σ = 5803757568. Its totient is φ = 649483200.

The previous prime is 2211211061. The next prime is 2211211069. The reversal of 2211211068 is 8601121122.

2211211068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211211061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662163 + ... + 665493.

It is an arithmetic number, because the mean of its divisors is an integer number (60455808).

Almost surely, 22211211068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211211068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901878784).

2211211068 is an abundant number, since it is smaller than the sum of its proper divisors (3592546500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2211211068 is a wasteful number, since it uses less digits than its factorization.

2211211068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 2211211068 is about 47023.5161169388. The cubic root of 2211211068 is about 1302.7969500384.

The spelling of 2211211068 in words is "two billion, two hundred eleven million, two hundred eleven thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 107 132 141 188 214 282 321 428 517 564 642 1034 1177 1284 1551 2068 2354 3102 3331 3531 4708 5029 6204 6662 7062 9993 10058 13324 14124 15087 19986 20116 30174 36641 39972 55319 60348 73282 109923 110638 146564 156557 165957 219846 221276 313114 331914 356417 439692 469671 626228 663828 712834 939342 1069251 1425668 1722127 1878684 2138502 3444254 3920587 4277004 5166381 6888508 7841174 10332762 11761761 15682348 16751599 20665524 23523522 33503198 47047044 50254797 67006396 100509594 184267589 201019188 368535178 552802767 737070356 1105605534 2211211068